Answer:
The probability that the result is positive is P=0.04475=4.475%.
Step-by-step explanation:
We have the events:
D: disease present
ND: disease not present
P: test positive
F: test false
Then, the information we have is:
P(D)=0.005
P(P | D)=0.99
P(P | ND)=0.04
The total amount of positive test are the sum of the positive when the disease is present and the false positives (positive tests when the disease is not present).

The probability that the result is positive is P=0.04475.
Answer:
The 92% confidence interval for the true proportion of customers who click on ads on their smartphones is (0.3336, 0.5064).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
For this problem, we have that:

92% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 92% confidence interval for the true proportion of customers who click on ads on their smartphones is (0.3336, 0.5064).
Area of the rectangle is 2*6=12 in^2
12 could be = 1*12 or 2*6 or 3*4
P could be 2*(1+12)=2*13=26
2*(2+6)=2*8=16
2*(3+4)=2*7=14
the answer is 24 in (c)
First term (a1) is -1
recursive formula goes like this

is the nth term

is the term before that
we normally have

we see each term is multipying by -3 to get next one
so that would be

where a1=-1
the 3rd option is correct except that it is the explicit formula
so answer is 2nd one